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After a hard work, a studio releases a new video game. The studio believes that the game will be liked by players; in particular, the studio claims that the mean player rating, u, will be higher than 90. In a random sample of 34 players, the mean rating is 95.2. Assume the population standard deviation of the ratings is known to be 12.7. Is there enough evidence to support the claim that the mean player rating is higher than 90? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. O

After a hard work, a studio releases a new video game. The studio believes that the game will be liked by players; in particular, the studio claims that the mean player rating, u, will be higher than 90. In a random sample of 34 players, the mean rating is 95.2. Assume the population standard deviation of the ratings is known to be 12.7. Is there enough evidence to support the claim that the mean player rating is higher than 90? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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populati After a . hard work, a studio releases a new video game. The studio believes that the game will be liked by players; in particular, the studio claims that the mean player rating, u, will be higher than 90. In a random sample of 34 players, the mean rating is 95.2. Assume the population standard deviation of the ratings is known to be 12.7. Is there enough evidence to support the claim that the mean player rating is higher than 90? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. Ho: 0 O<O OSO H;: 0 D=0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by • The p-value is the area under the curve to the right of the value of the test statistic. Normal Distribution Cton 1 Calecton llederb n kalled Explanation Check Privacy O2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
Transcribed Image Text:populati After a . hard work, a studio releases a new video game. The studio believes that the game will be liked by players; in particular, the studio claims that the mean player rating, u, will be higher than 90. In a random sample of 34 players, the mean rating is 95.2. Assume the population standard deviation of the ratings is known to be 12.7. Is there enough evidence to support the claim that the mean player rating is higher than 90? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H and the alternative hypothesis H,. Ho: 0 O<O OSO H;: 0 D=0 (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by • The p-value is the area under the curve to the right of the value of the test statistic. Normal Distribution Cton 1 Calecton llederb n kalled Explanation Check Privacy O2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Introduction to hypothesis tests for the population mean using . Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03 Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 3: Shade the area represented by the p-value. 0.1- Step 4: Enter the p-value. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the studio. OCinco the a ushue ie lece than loroualta) the loualof cinmificanco the null hunatheeie in roioeted Sothore in anuah Explanation Check O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use III
Transcribed Image Text:O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Introduction to hypothesis tests for the population mean using . Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03 Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 3: Shade the area represented by the p-value. 0.1- Step 4: Enter the p-value. (Round to 3 decimal places.) (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the studio. OCinco the a ushue ie lece than loroualta) the loualof cinmificanco the null hunatheeie in roioeted Sothore in anuah Explanation Check O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use III
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